450145792 has 80 divisors (see below), whose sum is σ = 942796800. Its totient is φ = 214456320.

The previous prime is 450145781. The next prime is 450145819. The reversal of 450145792 is 297541054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1253709 + ... + 1254067.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 2^450145792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471398400).

450145792 is an abundant number, since it is smaller than the sum of its proper divisors (492651008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450145792 is an equidigital number, since it uses as much as digits as its factorization.

450145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 450145792 is about 21216.6395077072. The cubic root of 450145792 is about 766.3921803355.

The spelling of 450145792 in words is "four hundred fifty million, one hundred forty-five thousand, seven hundred ninety-two".